For the total energy graph, it closely resembles the Kinetic energy graph, this is because of the fact that the potential energy goes into negative numbers unlike the kinetic energy graph which only has positive numbers on the y-axis. This acceleration varies from point-to-point on the earths surface, depending mainly on the distance to the earths center. This means that Pe is directly proportional to height, so as height increases so does Pe, and vice versa. As the the mass' height decrease so did the potential energy and as its height increases its potential energy increased because of the fact that in the equation Pe=mgh g and m were constant but height was changing. The graph of Potential energy acted in a different manner. This causes the equation Ke=0.5mv^2 to change according to the change in velocity as the mass remains constant. The kinetic energy increases as its height decreases because when its height decrease the velocity decrease, and it when its height increases the velocity increases. When the weight moves above the x-axis the kinetic energy decreases, because the force of the spring is higher than that of gravity, causing a decrease in kinetic energy. The first graph which details the kinetic energy of the weight, shows that as the weight moves below the relative x-axis the kinetic energy goes up and is directly proportional to the force of gravity acting on the cart. Since the system is moving downwards around 0.57 seconds, the velocity is positive.The shape of these graphs tells us a lot about the energy of the weight and how it changed over time for its motion. If the system is moving downwards, the velocity is positive and if the system is moving upwards, the velocity is negative. A parachutist jumping from an aeroplane falls freely for some time. Acceleration due to Gravity is the acceleration due to the force of gravitation of the earth. It is known as acceleration due to gravity. This numerical value is so important that it is given a special name. The equilibrium point will correspond to both the greatest and least velocity values of the graph depending on which way the system is moving when it passes through the point. Such an object has an acceleration of 9.8 m/s/s, downward (on Earth). The equilibrium point is around 0.56 seconds and corresponds to the greatest velocity on the graph of about 0.3 m/s. These values are because at the highest and lowest points, the mass-spring system stops for a moment in order to change direction to start moving down and up respectively, resulting in a velocity of zero at both points. A good lab course uses a mix of different types and styles of labs, with guided inquiry being one part. However, giving students genuine experiences in experimental design will prepare them and push their critical thinking skills. Recall from Lesson 10 the relationship for an. Calculate the angle of this inclined plane. We could use a protractor to get a good estimate of this angle but we can also calculate what the angle is because we know that gravity is 9.8 m/s 2. The highest point of the system is around 0.77 seconds with a velocity of about 0 m/s as well. Of course, the goal of all labs is not just to prepare students for one FRQ on the National Exam. To determine the actual acceleration due to gravity, you would need to know the angle of the incline. The lowest point of the system is around 0.33 seconds with a velocity of about 0 m/s. From the graph we can see that it is also roughly a harmonic motion. This graph shows the velocity of the mass-spring system as the spring stretches and compresses. We can then plug in these data values to getthe spring constant: The weight placed on the spring was 500 grams or 0.5 kilograms. The formula to find the period is T = 2π * √(m/k), where T is the period is seconds (s), m is the mass of the weight on the spring in kilograms (kg), and k is the spring constant in Newtons per meter (N/m). In order to solve for the spring constant, we ca algebraically rearrange the formula for the period to get:īased on the graphs, it can be determined that the period for the spring used is 0.8 seconds. It can be defined in the equation to find the period, or the time it takes for one oscillation of the spring, to occur. Spring constant, measured in Newtons per meter, describes the rigidness of a spring as it is compressed and decompressed. The picture portrayed above shows the mass-spring system created. This pattern of motion continued repeatedly, the mass-spring system becoming slower, dropping down less, and shooting up less as time passed by. The mass immediately pulled the spring down, but the spring soon afterwards shot back up. In this lab, a spring was hung securely from a ring stand and a mass of 500 grams (0.5 kilograms). Kinematics is a type of mechanics that deals with the motion of objects.
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